122202200110100 has 108 divisors (see below), whose sum is σ = 298586704074204. Its totient is φ = 43353330240000.

The previous prime is 122202200110087. The next prime is 122202200110121. The reversal of 122202200110100 is 1011002202221.

It can be written as a sum of positive squares in 6 ways, for example, as 2220803335696 + 119981396774404 = 1490236^2 + 10953602^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 122666771 + ... + 123658970.

Almost surely, 2^{122202200110100} is an apocalyptic number.

122202200110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122202200110100 is an abundant number, since it is smaller than the sum of its proper divisors (176384503964104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122202200110100 is a wasteful number, since it uses less digits than its factorization.

122202200110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246325818 (or 246325800 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122202200110100 its reverse (1011002202221), we get a palindrome (123213202312321).

The spelling of 122202200110100 in words is "one hundred twenty-two trillion, two hundred two billion, two hundred million, one hundred ten thousand, one hundred".